Some new inequalities for (k,s)-fractional integrals


Authors

M. Aldhaifallah - Electrical Engineering Department, College of Engineering-Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Riyadh region 11991, Saudi Arabia. M. Tomar - Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey. K. S. Nisar - Department of Mathematics, College of Arts and Science- Wadi Al-Dawaser, Prince Sattam bin Abdulaziz University, Riyadh region 11991, Saudi Arabia. S. D. Purohit - Department of HEAS (Mathematics), Rajasthan Technical University, Kota-324010, India.


Abstract

In this paper, the (k; s)-fractional integral operator is used to generate new classes of integral inequalities using a family of n positive functions, \((n \in \mathbb{N} )\). Two classes of integral inequalities involving the (k; s)- fractional integral operator are derived here and these results allow us in particular to generalize some classical inequalities. Certain interesting consequent results of the main theorems are also pointed out.


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ISRP Style

M. Aldhaifallah, M. Tomar, K. S. Nisar, S. D. Purohit, Some new inequalities for (k,s)-fractional integrals, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 9, 5374--5381

AMA Style

Aldhaifallah M., Tomar M., Nisar K. S., Purohit S. D., Some new inequalities for (k,s)-fractional integrals. J. Nonlinear Sci. Appl. (2016); 9(9):5374--5381

Chicago/Turabian Style

Aldhaifallah, M., Tomar, M., Nisar, K. S., Purohit, S. D.. "Some new inequalities for (k,s)-fractional integrals." Journal of Nonlinear Sciences and Applications, 9, no. 9 (2016): 5374--5381


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